using the graph, determine any relative maxima or minima of the function and the intervals on which the…

using the graph, determine any relative maxima or minima of the function and the intervals on which the function is increasing or decreasing.\n$f(x)=\\frac{1}{9}x^{3}-\\frac{1}{3}x^{2}-x + 3$\nusing the graph, determine any relative maxima. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the relative maximum value(s) $\\square$ occur(s) at $x = \\square$.\n(use a comma to separate answers as needed. type integers or decimals.)\nb. the function has no relative maximum.

using the graph, determine any relative maxima or minima of the function and the intervals on which the function is increasing or decreasing.\n$f(x)=\\frac{1}{9}x^{3}-\\frac{1}{3}x^{2}-x + 3$\nusing the graph, determine any relative maxima. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the relative maximum value(s) $\\square$ occur(s) at $x = \\square$.\n(use a comma to separate answers as needed. type integers or decimals.)\nb. the function has no relative maximum.

Answer

Explanation:

Step1: Identify relative maxima from the graph

A relative maximum is a point where the function changes from increasing to decreasing. Looking at the graph, the function has a relative maximum at the point ((- 1,3.556)).

Answer:

A. The relative maximum value(s) occur(s) at (x = - 1)